New Reverses of Schwarz, Triangle and Bessel Inequalities in Inner Product Spaces

Abstract

New reverses of the Schwarz, triangle and Bessel inequalities in inner product spaces are pointed out. These results complement the recent ones obtained by the author in an earlier paper. Further, they are employed to establish new Gruss type inequalities. Finally, some natural integral inequalities are stated as well.

References in corpus (5)

• Some Gruss Type Inequalities in Inner Product Spaces
• Reverses of Schwarz, Triangle and Bessel Inequalities in Inner Product Spaces
• A Counterpart of Schwarz's Inequality in Inner Product Spaces
• Some Companions of Gruss Inequality in Inner Product Spaces
• A Generalisation of the Cassels and Greub-Reinboldt Inequalities in Inner Product Spaces

Cited by in corpus (4)

• Advances on Inequalities of the Schwarz, Triangle and Heisenberg Type in Inner Product Spaces
• Reverses of the Schwarz Inequality in Inner Product Spaces Generalising a Klamkin-McLenaghan Result
• Some inequalities for $(\alpha ,\beta )$-normal operators in Hilbert spaces
• New Reverse Inequalities for the Numerical Radius of Normal Operators in Hilbert Spaces